Question

5y + 4(-5 + 3y) = 1 – y solve step by step please

Answer 1

`\boxed {y = (7)/(6)}`

Explanation:

Solve for the value of
`y`:

`5y + 4( -5 + 3y) = 1 - y`

-Use Distributive Property:

`5y + 4( -5 + 3y) = 1 - y`

`5y - 20 + 12y = 1 - y`

-Combine like terms:

`5y - 20 + 12y = 1 - y`

`17y - 20 = 1 - y`

-Take
`-y` and add it to
`17y`:

`17y + y - 20 = 1 - y + y`

`18y - 20 = 1`

-Add
`20` on both sides:

`18y - 20 + 20 = 1 + 20`

`18y = 21`

-Divide both sides by
`18`:

`(18y)/(18) = (21)/(18)`

`\boxed {y = (7)/(6)}`

Therefore, the value of
`y` is
`(7)/(6)`.